Two-Weight Norm, Poincaré, Sobolev and Stein–Weiss Inequalities on Morrey Spaces
Kwok-Pun Ho
The Education University of Hong Kong, China
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Abstract
We establish two-weight norm inequalities for singular integral operators and fractional integral operators on Morrey spaces. As a consequence of these inequalities, we obtain two-weight Poincaré and Sobolev inequalities on Morrey spaces. Moreover, we also establish the Stein–Weiss inequality, the Hardy inequality and the Rellich inequality on Morrey spaces.
Cite this article
Kwok-Pun Ho, Two-Weight Norm, Poincaré, Sobolev and Stein–Weiss Inequalities on Morrey Spaces. Publ. Res. Inst. Math. Sci. 53 (2017), no. 1, pp. 119–139
DOI 10.4171/PRIMS/53-1-4